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234033408336 = 243713181296017
BaseRepresentation
bin1101100111110101111…
…0100110100101010000
3211101002012010221221110
43121331132212211100
512313300023031321
6255302524053320
722623365101560
oct3317536464520
9741065127843
10234033408336
1190286837652
1239435394240
13190b9202110
14b482098da0
15614b222176
hex367d7a6950

234033408336 has 160 divisors (see below), whose sum is σ = 748219833088. Its totient is φ = 61381877760.

The previous prime is 234033408307. The next prime is 234033408391. The reversal of 234033408336 is 633804330432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 234033408294 and 234033408303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642600 + ... + 938616.

Almost surely, 2234033408336 is an apocalyptic number.

234033408336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234033408336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374109916544).

234033408336 is an abundant number, since it is smaller than the sum of its proper divisors (514186424752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234033408336 is a wasteful number, since it uses less digits than its factorization.

234033408336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296229 (or 296223 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 234033408336 its reverse (633804330432), we get a palindrome (867837738768).

The spelling of 234033408336 in words is "two hundred thirty-four billion, thirty-three million, four hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 181 182 208 273 312 336 362 364 543 546 624 724 728 1086 1092 1267 1448 1456 2172 2184 2353 2534 2896 3801 4344 4368 4706 5068 7059 7602 8688 9412 10136 14118 15204 16471 18824 20272 28236 30408 32942 37648 49413 56472 60816 65884 98826 112944 131768 197652 263536 296017 395304 592034 790608 888051 1184068 1776102 2072119 2368136 3552204 3848221 4144238 4736272 6216357 7104408 7696442 8288476 11544663 12432714 14208816 15392884 16576952 23089326 24865428 26937547 30785768 33153904 46178652 49730856 53579077 53875094 61571536 80812641 92357304 99461712 107158154 107750188 160737231 161625282 184714608 214316308 215500376 321474462 323250564 375053539 428632616 431000752 642948924 646501128 696528001 750107078 857265232 1125160617 1285897848 1293002256 1393056002 1500214156 2089584003 2250321234 2571795696 2786112004 3000428312 4179168006 4500642468 4875696007 5572224008 6000856624 8358336012 9001284936 9751392014 11144448016 14627088021 16716672024 18002569872 19502784028 29254176042 33433344048 39005568056 58508352084 78011136112 117016704168 234033408336